Unit 3, Lesson 13

Solutions of Inequalities

Accelerated 7

Practice

Choose one of these inequalities to represent each situation or number line: $x< 25$, $x > 25$, $x \leq 25$, or $x \geq 25$.

The library gave a bookbag to any student who read at least 25 books over the summer. Priya read $x$ books and got a bookbag.
Kiran read $x$ books over the summer, but he did not get a bookbag.

For each inequality, find two values for $x$ that make the inequality true and two values that make it false.

Solve each equation.

$\frac17(x+\frac34)=\frac18$

$\frac92=\frac34(z+\frac23)$

$1.5=0.6(w+0.4)$

$0.08(7.97+v)=0.832$

Select all the stories that can be represented by the diagram.

Andre studies 7 hours this week for end-of-year exams. He spends 1 hour on English and an equal number of hours each on math, science, and history.
Lin spends \$3 on 7 markers and a \$1 pen.
Diego spends \$1 on 7 stickers and 3 marbles.
Noah shares 7 grapes with 3 friends. He eats 1 and gives each friend the same number of grapes.

Describe a sequence of translations, rotations, or reflections that show the triangles are congruent.